9. A company marketing a food product at sporting events has determined that the amountof income received on any one day depends upon the number of outlets selling the productat each sporting event. The company has found that the income, I (in dollars) is given byI = -20x? + 400xwhere a is the number of outlets at the sporting event.(a) Complete the following table of values forNumber of4810121620outlets (x)Income (I)(b) Using the table of values sketch the graph of I = -20x² + 400x.(c) Explain why it is not useful to calculate I for negative values of x.(d) What is the equation of the axis of symmetry?(e) Use this graph to find the maximum income the company can expect from sales ofthe product at a sporting event.(f) Use the graph to find the number of outlets required to achieve this maximum income.(g) Describe in your own words the relationship between income and the number of foodoutlets at the sporting event.

Since, you have posted a question with multiple sub-parts,we will solve the first three complete…

(a) Complete the following table of values for Number of 4 8 10 12 16 20 outlets (x) Income (I) (b) Using the table of values sketch the graph of I =-20z2 + 400x. (c) Explain why it is not useful to calculate I for negative values of x.

(a) Complete the following table of values for Number of 4 8 10 12 16 20 outlets (x) Income (I) (b) Using the table of values sketch the graph of I =-20z2 + 400x. (c) Explain why it is not useful to calculate I for negative values of x.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

9. A company marketing a food product at sporting events has determined that the amount
of income received on any one day depends upon the number of outlets selling the product
at each sporting event. The company has found that the income, I (in dollars) is given by
I = -20x? + 400x
where a is the number of outlets at the sporting event.
(a) Complete the following table of values for
Number of
4
8
10
12
16
20
outlets (x)
Income (I)
(b) Using the table of values sketch the graph of I = -20x² + 400x.
(c) Explain why it is not useful to calculate I for negative values of x.
(d) What is the equation of the axis of symmetry?
(e) Use this graph to find the maximum income the company can expect from sales of
the product at a sporting event.
(f) Use the graph to find the number of outlets required to achieve this maximum income.
(g) Describe in your own words the relationship between income and the number of food
outlets at the sporting event.

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